On nonparametric maximum likelihood estimation with interval censoring and left truncation

被引：31

作者：

Hudgens, MG ^{[1
]}

机构：

[1] Univ N Carolina, Sch Publ Hlth, Dept Biostat, Chapel Hill, NC 27599 USA

来源：

JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY | 2005年 / 67卷

关键词：

graph theory; interval censoring; nonparametric maximum likelihood estimation; truncation;

D O I：

10.1111/j.1467-9868.2005.00516.x

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A graph theoretical approach is employed to describe the support set of the nonparametric maximum likelihood estimator for the cumulative distribution function given interval-censored and left-truncated data. A necessary and sufficient condition for the existence of a nonparametric maximum likelihood estimator is then derived. Two previously analysed data sets are revisited.

引用

页码：573 / 587

页数：15

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